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KonstantinChe [14]
2 years ago
14

Graph the line passing through the given point and having the given slope (0,3), m=4

Mathematics
1 answer:
andriy [413]2 years ago
3 0

<u>Hint </u><u>:</u><u>-</u>

  • To find out the equation of the line we can use the point slope form of the line which is y - y_1 = m(x-x_1)

<u>Solution</u><u> </u><u>:</u><u>-</u>

The given point to us is , (0,3) and the slope of the line is 4 . On using the point slope form , we have ,

\implies y - y_1= m(x-x_1) \\\\\implies y-3 = 4(x-0) \\\\\implies y -3 = 4x \\\\\implies \boxed{ 4x - y + 3 =0}

<u>Hence</u><u> the</u><u> </u><u>equation</u><u> </u><u>is </u><u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>y </u><u>+</u><u> </u><u>3</u><u> </u><u>=</u><u> </u><u>0</u><u> </u>

( for graph , see attachment ) .

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

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<u>Step 2: Find g(2)</u>

  1. Substitute:                    g(2) = 2(2)² - 1
  2. Evaluate:                       g(2) = 2(4) - 1
  3. Multiply:                        g(2) = 8 - 1
  4. Subtract:                       g(2) = 7

<u>Step 3: Find f(g(2))</u>

  1. Define:                    g(2) = 7
  2. Rewrite:                   f(7)
  3. Substitute:               f(7) = 3(7) + 1
  4. Multiply:                   f(7) = 21 + 1
  5. Add:                         f(7) = 22

And we have our final answer!

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